298472771520 has 1008 divisors, whose sum is σ = 1331579418624. Its totient is φ = 60004454400.

The previous prime is 298472771477. The next prime is 298472771537. The reversal of 298472771520 is 25177274892.

298472771520 is a `hidden beast` number, since 2 + 9 + 8 + 47 + 2 + 7 + 71 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×298472771520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75618187 + ... + 75622133.

It is an arithmetic number, because the mean of its divisors is an integer number (1321011328).

Almost surely, 2^298472771520 is an apocalyptic number.

298472771520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 298472771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665789709312).

298472771520 is an abundant number, since it is smaller than the sum of its proper divisors (1033106647104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

298472771520 is a wasteful number, since it uses less digits than its factorization.

298472771520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 298472771520 in words is "two hundred ninety-eight billion, four hundred seventy-two million, seven hundred seventy-one thousand, five hundred twenty".